26070849600 has 336 divisors, whose sum is σ = 90127945728. Its totient is φ = 6584821760.

The previous prime is 26070849599. The next prime is 26070849659. The reversal of 26070849600 is 694807062.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11811697 + ... + 11813903.

Almost surely, 2^26070849600 is an apocalyptic number.

26070849600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26070849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45063972864).

26070849600 is an abundant number, since it is smaller than the sum of its proper divisors (64057096128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26070849600 is a wasteful number, since it uses less digits than its factorization.

26070849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 26070849600 in words is "twenty-six billion, seventy million, eight hundred forty-nine thousand, six hundred".